Page 119 - Multidimensional Chromatography
P. 119

Coupled-Column Liquid Chromatography                            111

                                 Table 5.1 Comparison of off- and on-line multidimensional LC techniques
                                             Off-line multidimentional chromatography
                                    Advantages                      Disadvantages
                           • Easy to carry out by collection of   • Labour intensive
                               column effluent
                           • Can concentrate trace solutes from  • More time consuming
                               large volumes
                           • Can work with two LC modes that  • Sample loss or contamination
                               use incompatible solvents          during handling
                                             On-line multidimentional chromatography
                                    Advantages                          Disadvantages
                           • Easy to automate                 • Incompatibility of different mobile
                                                                  phase system
                           • No loss or contamination         • Separation obtained on the first
                                                                  column can, at least partly, be
                                                                  reduced on the second column
                           • Decreased total analysis time    • Requires automated or semi-automated
                                                                  instrumentation
                           • More reproducible



                           columns, mobile phase composition, the nature and number of analytes, and the type
                           of matrix and its related interferences. In order to achieve this, simple valving cir-
                           cuits can be used with conventional LC apparatus.


                           5.2  THEORETICAL ASPECTS


                           In order to optimize separations on coupled-column liquid chromatographic systems
                           under the conditions of solvent modulation, we need to consider the parameters
                           which affect the resolution, as follows.
                              The basic measure of the efficacy of a single-column chromatographic system in
                           separating two neighbouring peaks can be effected by the resolution (R s ), which is
                           equal to the ratio between the two peak maxima,  t r (distance between the peak cen-
                           tres) and the average base width of the two peaks, as follows (3):

                                                         2(t r,2   t r,1 )   t r
                                                   t r
                                             R S                                          (5.1)
                                                   w     (w 1 	 w 2 )  4  t
                           where t r,1 and t r,2 are the retention times, w 1 and w 2 are the peak widths measured by
                           the baseline intercept and   t is the mean standard deviation of a Gaussian peak.
                              For closely spaced peaks, the resolution may be expressed as the product of three
                           factors (a,b,c), which are related to the adjustable variables of a chromatographic
                           system as follows:
                                                        1      k  2        1/2
                                                                       N
                                            R S                   1 	 k  2            16  (5.2)
                                                    (a)        (b)     (c)
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